A Clifford algebraic method for the knot structures of 3D-Ising model (Zhang's conjecture)

The non-trivial knot or link structure will be expected to be
observed in 3D-Ising model. The structure makes the difference between 2D-Ising model and 3D-Ising model. The second author has made a conjecture on the structure ([1]). In this talk, we propose a method of analysis by use of Clifford algebra and give a description of the structure in terms of Clifford algebra. Then applying the methods of Riemann-Hilbert problem on Riemann surface and monoidal transform, we will discuss the conjecture and show the its possibility ([2]). Details will be given in the forthcoming paper.